321320002113 has 32 divisors (see below), whose sum is σ = 524346900480. Its totient is φ = 192848703120.

The previous prime is 321320002063. The next prime is 321320002151. The reversal of 321320002113 is 311200023123.

321320002113 is a `hidden beast` number, since 321 + 320 + 0 + 0 + 21 + 1 + 3 = 666.

It is not a de Polignac number, because 321320002113 - 2⁹ = 321320001601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321320002193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5221281 + ... + 5282462.

It is an arithmetic number, because the mean of its divisors is an integer number (16385840640).

Almost surely, 2^321320002113 is an apocalyptic number.

321320002113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

321320002113 is a deficient number, since it is larger than the sum of its proper divisors (203026898367).

321320002113 is a wasteful number, since it uses less digits than its factorization.

321320002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10503866 (or 10503860 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321320002113 its reverse (311200023123), we get a palindrome (632520025236).

The spelling of 321320002113 in words is "three hundred twenty-one billion, three hundred twenty million, two thousand, one hundred thirteen".